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Question

A student was asked to measure three angles of a triangle, and he finds only one acute angle in the triangle. Did he measure correctly?

A
Yes
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B
No, the triangle should have at least two acute angles.
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C
No, the triangle should have at least three acute angles.
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D
None of the above
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Solution

The correct option is B No, the triangle should have at least two acute angles.
It's not possible to make a triangle using only one acute angle. If only one angle is acute then other two angles will be obtuse, or right angles. So the sum of three angles will be greater than 180°, which is not possible due to angles sum property of a triangle.
So, any triangle will have at least two acute angles. For example: a right-angled trianle or an obtuse angle triangle.
The correct answer is (b).

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